On algebraic geometry codes with one-dimensional hull

发布时间：2024-12-02 作者：浏览次数：

Speaker:	Lin Sok	DateTime:	2024年12月05日（周四）上午：10:00-11:00
Brief Introduction to Speaker: Lin Sok received the B.Sc. degree in mathematics from the Royal University of Phnom Penh, Phnom Penh, Cambodia in 2003, the M.Sc. degree in computer science from Universit′e de la M′editerran′ee-Aix Marseille II, Marseille, France in 2008. He obtained the Ph.D. degree from Telecom ParisTech, Paris, France in 2013. From 2013 to 2014, he was a Postdoctoral Fellow at the Department of Communications and Electronics, Telecom ParisTech. He was a Lecturer at the Department of Mathematics at the Royal University of Phnom Penh, Cambodia, from 2014 to 2018. He was a Postdoctoral Fellow at the School of Mathematical Sciences, Anhui University, China, from 2016 to 2018 and an Assistant Professor from 2018 to 2022. He has been a Senior Researcher at the School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore since 2023.		Place:	国交三号楼C407教室
Abstract:The hull of a linear code is its intersection with its dual, where the dual is often defined with respect to Euclidean. The Euclidean hull with low dimensions gets much interest due to its crucial role in determining the complexity of algorithms for computing the automorphism group of a linear code and for checkingpermutation equivalence of two linear codes. In this talk, we present tools from algebraic function fields to study the Euclidean hull of algebraic geometry codes. From a number of algebraic curves, we explore explicit constructions of linear codes with one-dimensional hull.

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On algebraic geometry codes with one-dimensional hull